A panel of judges then rates the stories and selects any number of finalists, according to Todd Hutchins, a White Castle spokesman.

Hutchins said the company can get, say, 1,600 applications and narrow the pool down to 20 or 40 people. Then the panel can select as many as a dozen people for the Hall of Fame.

Luke Sharrett/Bloomberg/Getty Images

PHOTO: Attendees of the grand opening for the new White Castle Co. Distributing Plant stand in line at the White Caste Cravemobile food truck in Vandalia, Ohio, April 30, 2014.

Inductees include the creators and actors of the 2004 film, "Harold & Kumar Go to White Castle," and a woman who first dated her husband of more than 32 years at the fast food chain.

Cooper was inducted into the White Castle Cravers Hall of Fame at the home office in Columbus, Ohio, on Monday. Cooper did not apply, Hutchins said.

"Alice grew up in Detroit and he has basically been a White Castle 'craver' since he was a child. He has made mention of that in the past," Hutchins said.

Bill Ingram, CEO of White Castle, happens to be friends with Cooper's manager and invited the rock star to become inducted. The ceremony took place this week while Cooper was in Ohio for an unrelated performance.

The other inductees will take part in a ceremony in October at the headquarters, with transportation and lodging paid for by the company. After an office tour and meeting White Castle executives, inductees tell their story in a ceremony and then get a plaque.